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Finding the Fourth Proportional to 3,628.76, 5,443.32 and 1,031.90

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Solution

The fourth proportional to 3,628.76, 5,443.32 and 1,031.90 is: 1,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.76 : 5,443.32 = 1,031.90 : x
  2. Step 2: Convert to fraction form
    3,628.76/5,443.32 = 1,031.90/x
  3. Step 3: Cross multiply
    3,628.76x = 5,443.32 × 1,031.90
  4. Step 4: Simplify right side
    3,628.76x = 5,616,961.91
  5. Step 5: Solve for x
    x = 5,616,961.91/3,628.76
  6. Step 6: Final answer
    x = 1,547.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.